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Finding the Third Proportional to 163,063.13 and 259,417.69

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Solution

The third proportional to 163,063.13 and 259,417.69 is: 412,708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,063.13 : 259,417.69 = 259,417.69 : x
  2. Step 2: Convert to fraction form
    163,063.13/259,417.69 = 259,417.69/x
  3. Step 3: Cross multiply
    163,063.13x = 259,417.69 × 259,417.69
  4. Step 4: Simplify right side
    163,063.13x = 67,297,536,587.85
  5. Step 5: Solve for x
    x = 67,297,536,587.85/163,063.13
  6. Step 6: Final answer
    x = 412,708.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.